Math Answers

Determine whether each of these compound propositions

is satisfiable.

a) (p ∨ ¬q) ∧ (¬p ∨ q) ∧ (¬p ∨ ¬q)

b) (p → q) ∧ (p → ¬q) ∧ (¬p → q) ∧ (¬p → ¬q)

c) (p ↔ q) ∧ (¬p ↔ q)

The geometric mean of a group of 15 observations was calculated as 12. It was later found that one observation was wrongly read as 19 instead of the correct value 9. Obtain the correct geometric mean of the data.

A BASKET CONTAINS 5 WHITE BALL (W) AND 5 BLACK BALL (B). WHAT IS THE POSSIBLE RESULT IF YOU DRAW 3 BALLS IN RANDOM FROM THE BASKET. LET X BE THE RANDOM VARIABLE REPRESENTING THE NUMBER OF BALCK BALL THAT OCCUR.

Ayana has $2.35 in nickels and dimes. If she has 33 coins in all, find the number of nickels and dimes

The production cost, represent by y, of smart phone devices are equal to the product of computing components (a) and the square of the number of devices (x), added to the product of labour (b) and number of devices (x); after which savings on reusable material (c) are subtracted

Write down an equation to represent the production cost (y) in terms of a, x, b and c

Let φ : V → W be a linear transformation of vector spaces over the field F. The kernel of φ is by definition

the set ker(φ) ⊂ V of vectors v in V such that φ(v) = 0. The image of φ is the subset im(φ) of vectors w ∈ W

for which there exists some v ∈ V such that φ(v) = w.

(1) Show that the kernel of φ is a subspace of V .

(2) Show that the image of φ is a subspace of W.

(3) Show that φ is injective if and only if the kernel is 0.

(4) Show that φ is surjective if and only if the image is W.

(D^4 +13D^2 + 36)y = 0

The product cost, represented by y, of smart phone devices are equal to the product of computing componets(a) and the square of the number of divices(x) added to the product of labour(b) and number of devices(x), after which savings on reusable material(c) are subtracted. write down an equation to represent the production cost(y) in terms of a,x,b and c

Solve the given linear system by any method. 3x1 + X2 + X3 + X4 = 0, 5x1 - X2 + X3 - X4 = 0

A basket contains 5 white ball (w) and 5 black ball (b). What is the possible result if you draw 3 balls in random from the basket.let x be the random variable representing the number of black ball that occur.